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Finding the Fourth Proportional to 277,800, 417,253.55 and 262,132.89

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Solution

The fourth proportional to 277,800, 417,253.55 and 262,132.89 is: 393,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,800 : 417,253.55 = 262,132.89 : x
  2. Step 2: Convert to fraction form
    277,800/417,253.55 = 262,132.89/x
  3. Step 3: Cross multiply
    277,800x = 417,253.55 × 262,132.89
  4. Step 4: Simplify right side
    277,800x = 109,375,877,613.60
  5. Step 5: Solve for x
    x = 109,375,877,613.60/277,800
  6. Step 6: Final answer
    x = 393,721.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.